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3 years ago

Ill mark brainlist plss help

Mathematics

1 answer:

spayn [35]3 years ago

8 0

THIS IS NOT MY ANSWER i got this from someone else but i think this will help u cause it’s from the same question:

We have our initial unit of speed: 343 m/s.

We want to find how many kilometers sound will travel when the air is at 68 degrees in five seconds.

Step 1: Multiply 343 by five. (1 sec. to 5 secs.)
343 * 5 = 1715

Step 2: Divide 1715 by 1000. (1 m. to 0.001 km)
1715/1000 = 1.715 km/5 secs.

At a temperature of 68°, sound will travel 1.715 km in 5 seconds.

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1. If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter o

tester [92]

Answer:

Part 1) The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor (see the explanation)

Part 2) The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) The new figure and the original figure are not similar figures (see the explanation)

Step-by-step explanation:

Part 1) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its perimeters is equal to the scale factor

The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor

Part 2) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the area of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its areas is equal to the scale factor squared

The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) What would happen to the perimeter and area of a figure if the dimensions were changed NON-proportionally? For example, if the length of a rectangle was tripled, but the width did not change? Or if the length was tripled and the width was decreased by a factor of 1/4?

we know that

If the dimensions were changed NON-proportionally, then the ratio of the corresponding sides of the new figure and the original figure are not proportional

That means

The new figure and the original figure are not similar figures

therefore

Corresponding sides are not proportional and corresponding angles are not congruent

A) If the length of a rectangle was tripled, but the width did not change?

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2W ----> P=6L+2W

The perimeter of the new figure is greater than the perimeter of the original figure but are not proportionals

Area

The original area is A=LW

The new area would be A=(3L)(W) ----> A=3LW

The area of the new figure is three times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

B) If the length was tripled and the width was decreased by a factor of 1/4?

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2(W/4) ----> P=6L+W/2

The perimeter of the new figure and the perimeter of the original figure are not proportionals

Area

The original area is A=LW

The new area would be A=(3L)(W/4) ----> A=(3/4)LW

The area of the new figure is three-fourth times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

5 0

3 years ago

State and prove De Moivre's theorem

Montano1993 [528]

Answer:

assume the formula is true for n is equal to k prove that result is true for n is equal to k + 1 hence result proves since the thorum is true for n is equal to 1 and n k + 1 is unit through a and

6 0

2 years ago

To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the a

stich3 [128]

Answer:

480 milligrams.

Step-by-step explanation:

Divide 320 by 92, you get 3.47826087, multiply that by 138 to get your answer (480).

7 0

3 years ago

Read 2 more answers

A city's water tower is built using a right circular cone and a right cylinder, as shown.

Gemiola [76]

The answer is B

Volume of the cone: 63617.25
Volume of the cylinder: 891000

Hope this helps ;)

5 0

3 years ago

The play director spent 190190190 hours preparing for a play. That time included attending 353535 rehearsals that took varying a

dybincka [34]

Answer:

The equation $35x+93\frac{3}{4} =190$ gives average time spent on 35 rehearsals.

Step-by-step explanation:

We are supposed to find that what question does the equation $35x+93\frac{3}{4} =190$ finds answer of.

We can see that 35x represents time spent on 35 rehearsals and $93\frac{3}{4}$ is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

$35x+\frac{375}{4} =190$

After subtracting $93\frac{3}{4}$ hours from 190 hours we will get time spent on 35 rehearsals.

$35x =190-\frac{375}{4}$

$35x =\frac{760-375}{4}$

$35x =\frac{385}{4}$

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

$x =\frac{96.25}{35}=2.75$

Therefore, equation $35x+93\frac{3}{4} =190$ finds average time spent on 35 rehearsals.

7 0

3 years ago

Read 2 more answers